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Finding the Fourth Proportional to 277,624.06, 416,607.40 and 109,114.80

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Solution

The fourth proportional to 277,624.06, 416,607.40 and 109,114.80 is: 163,739.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,624.06 : 416,607.40 = 109,114.80 : x
  2. Step 2: Convert to fraction form
    277,624.06/416,607.40 = 109,114.80/x
  3. Step 3: Cross multiply
    277,624.06x = 416,607.40 × 109,114.80
  4. Step 4: Simplify right side
    277,624.06x = 45,458,031,703.64
  5. Step 5: Solve for x
    x = 45,458,031,703.64/277,624.06
  6. Step 6: Final answer
    x = 163,739.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.